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Finding the Third Proportional to 2,305 and 2,593

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Solution

The third proportional to 2,305 and 2,593 is: 2,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305 : 2,593 = 2,593 : x
  2. Step 2: Convert to fraction form
    2,305/2,593 = 2,593/x
  3. Step 3: Cross multiply
    2,305x = 2,593 × 2,593
  4. Step 4: Simplify right side
    2,305x = 6,723,649
  5. Step 5: Solve for x
    x = 6,723,649/2,305
  6. Step 6: Final answer
    x = 2,916.98

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.